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Simplifying [2(x + y) * sec2x + tanx] * dx + tanxdy = 0 Reorder the terms for easier multiplication: [2c2esx(x + y) + tanx] * dx + tanxdy = 0 [(x * 2c2esx + y * 2c2esx) + tanx] * dx + tanxdy = 0 Reorder the terms: [(2c2esxy + 2c2esx2) + tanx] * dx + tanxdy = 0 [(2c2esxy + 2c2esx2) + tanx] * dx + tanxdy = 0 Reorder the terms: [antx + 2c2esxy + 2c2esx2] * dx + tanxdy = 0 Reorder the terms for easier multiplication: dx[antx + 2c2esxy + 2c2esx2] + tanxdy = 0 [antx * dx + 2c2esxy * dx + 2c2esx2 * dx] + tanxdy = 0 [adntx2 + 2c2desx2y + 2c2desx3] + tanxdy = 0 Reorder the terms: adntxy + adntx2 + 2c2desx2y + 2c2desx3 = 0 Solving adntxy + adntx2 + 2c2desx2y + 2c2desx3 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2c2desx2y' to each side of the equation. adntxy + adntx2 + 2c2desx2y + -2c2desx2y + 2c2desx3 = 0 + -2c2desx2y Combine like terms: 2c2desx2y + -2c2desx2y = 0 adntxy + adntx2 + 0 + 2c2desx3 = 0 + -2c2desx2y adntxy + adntx2 + 2c2desx3 = 0 + -2c2desx2y Remove the zero: adntxy + adntx2 + 2c2desx3 = -2c2desx2y Add '-2c2desx3' to each side of the equation. adntxy + adntx2 + 2c2desx3 + -2c2desx3 = -2c2desx2y + -2c2desx3 Combine like terms: 2c2desx3 + -2c2desx3 = 0 adntxy + adntx2 + 0 = -2c2desx2y + -2c2desx3 adntxy + adntx2 = -2c2desx2y + -2c2desx3 Reorder the terms: adntxy + adntx2 + 2c2desx2y + 2c2desx3 = -2c2desx2y + 2c2desx2y + -2c2desx3 + 2c2desx3 Combine like terms: -2c2desx2y + 2c2desx2y = 0 adntxy + adntx2 + 2c2desx2y + 2c2desx3 = 0 + -2c2desx3 + 2c2desx3 adntxy + adntx2 + 2c2desx2y + 2c2desx3 = -2c2desx3 + 2c2desx3 Combine like terms: -2c2desx3 + 2c2desx3 = 0 adntxy + adntx2 + 2c2desx2y + 2c2desx3 = 0 Factor out the Greatest Common Factor (GCF), 'dx'. dx(anty + antx + 2c2esxy + 2c2esx2) = 0Subproblem 1
Set the factor 'dx' equal to zero and attempt to solve: Simplifying dx = 0 Solving dx = 0 Move all terms containing a to the left, all other terms to the right. Add '-1dx' to each side of the equation. dx + -1dx = 0 + -1dx Remove the zero: 0 = -1dx Simplifying 0 = -1dx The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(anty + antx + 2c2esxy + 2c2esx2)' equal to zero and attempt to solve: Simplifying anty + antx + 2c2esxy + 2c2esx2 = 0 Reorder the terms: antx + anty + 2c2esxy + 2c2esx2 = 0 Solving antx + anty + 2c2esxy + 2c2esx2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-2c2esxy' to each side of the equation. antx + anty + 2c2esxy + -2c2esxy + 2c2esx2 = 0 + -2c2esxy Combine like terms: 2c2esxy + -2c2esxy = 0 antx + anty + 0 + 2c2esx2 = 0 + -2c2esxy antx + anty + 2c2esx2 = 0 + -2c2esxy Remove the zero: antx + anty + 2c2esx2 = -2c2esxy Add '-2c2esx2' to each side of the equation. antx + anty + 2c2esx2 + -2c2esx2 = -2c2esxy + -2c2esx2 Combine like terms: 2c2esx2 + -2c2esx2 = 0 antx + anty + 0 = -2c2esxy + -2c2esx2 antx + anty = -2c2esxy + -2c2esx2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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